# A motorcycle moving at a speed of 10 m / s starts to slow down and, having traveled a distance of 25 m, stops.

September 24, 2021 | education

| **A motorcycle moving at a speed of 10 m / s starts to slow down and, having traveled a distance of 25 m, stops. Determine the mass of the motorcycle if the total resistance to motion is known to be 300 N.**

Initial data: V0 (motorcycle speed before braking) = 10 m / s; S (braking distance) = 25 m; Fc (total force of resistance to the movement of the motorcycle) = 300 N.

1) Determine the modulus of acceleration of the motorcycle during braking: S = | (V ^ 2 – V0 ^ 2) / 2a | = | (0 – V0 ^ 2) / 2a |, whence a = | -V0 ^ 2 / 2S | = | -10 ^ 2 / (2 * 25) | = 2 m / s2.

2) We calculate the mass of the motorcycle: m * a = Fс, whence m = Fс / a = 300/2 = 150 kg.

Answer: A motorcycle weighs 150 kilograms.

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